Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256q |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-7.0093171961224E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 11- 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2986764,12581948324] |
[a1,a2,a3,a4,a6] |
Generators |
[466:118638:1] |
Generators of the group modulo torsion |
j |
608740352/14480427 |
j-invariant |
L |
6.381054397772 |
L(r)(E,1)/r! |
Ω |
0.082165470359537 |
Real period |
R |
2.4269069439334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999680687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37752q1 113256bw1 |
Quadratic twists by: -3 -11 |